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Finding the Third Proportional to 7,786.13 and 11,972.81

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Solution

The third proportional to 7,786.13 and 11,972.81 is: 18,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 11,972.81 = 11,972.81 : x
  2. Step 2: Convert to fraction form
    7,786.13/11,972.81 = 11,972.81/x
  3. Step 3: Cross multiply
    7,786.13x = 11,972.81 × 11,972.81
  4. Step 4: Simplify right side
    7,786.13x = 143,348,239.16
  5. Step 5: Solve for x
    x = 143,348,239.16/7,786.13
  6. Step 6: Final answer
    x = 18,410.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.